Theory of the Nucleus as a Many-Body System

Atomic nucleus consists of nucleons (protons and neutrons) interacting each other with the so-called nucleon-nucleon (NN) forces. The structure of atomic nucleus can be studied via many-body theories. Some of them are the well-known random-phase approximation (RPA) and/or the Bardeen-Cooper-Schrieffer (BCS) theory. These theories produce very well the properties of infinite systems such as superconductors, where the quantal and thermal fluctuations are zero or very small. However, our recent studies have shown that these fluctuations are significant in finite systems such as atomic nuclei. As the result, the physical properties of nuclear systems are changed due to the effects of quantal and thermal fluctuations. Therefore, the conventional many body theories need to be modified to include the effects of these fluctuations when they are applied to atomic nucleus. Recently, we have proposed a self-consistent quasiparticle RPA (SCQRPA) taking into account the effects of quantal and thermal fluctuations. The SCQRPA has been tested and the results obtained are in reasonable agreements with the exact solutions of the model cases as well as those obtained within the quantum Monte-Carlo method for realistic nuclei.Atomic nucleus consists of nucleons (protons and neutrons) interacting each other with the so-called nucleon-nucleon (NN) forces. The structure of atomic nucleus can be studied via many-body theories. Some of them are the well-known random-phase approximation (RPA) and/or the Bardeen-Cooper-Schrieffer (BCS) theory. These theories produce very well the properties of infinite systems such as superconductors, where the quantal and thermal fluctuations are zero or very small. However, our recent studies have shown that these fluctuations are significant in finite systems such as atomic nuclei. As the result, the physical properties of nuclear systems are changed due to the effects of quantal and thermal fluctuations. Therefore, the conventional many body theories need to be modified to include the effects of these fluctuations when they are applied to atomic nucleus. Recently, we have proposed a self-consistent quasiparticle RPA (SCQRPA) taking into account the effects of quantal and thermal fluctuations. The SCQRPA has been tested and the results obtained are in reasonable agreements with the exact solutions of the model cases as well as those obtained within the quantum Monte-Carlo method for realistic nuclei.

Jan 1, 20110 citations

Relativistic Theory of the Effective Interaction in Nuclei

Louis S. Celenza, W. S. Pong, Carl M. Shakin

We show that the relativistic many-body theory that has recently been used to explain the saturation properties of nuclear matter also explains the remarkable density dependence (found in phenomenological studies) of the Landau-Migdal parameter, ${F}_{0}$ . This result provides further evidence that the nucleus is a relativistic system.We show that the relativistic many-body theory that has recently been used to explain the saturation properties of nuclear matter also explains the remarkable density dependence (found in phenomenological studies) of the Landau-Migdal parameter, ${F}_{0}$. This result provides further evidence that the nucleus is a relativistic system.

Physical Review LettersJul 20, 198110 citations

Statistical Theory of the Many-Body Nuclear System

Arturo De Pace, Alfredo Molinari

arXiv:nucl-th/0110056Annals of PhysicsMar 1, 20023 citations

Theory of Nuclear Reactions and the Many-Body Problem

G.M. Vagradov

Springer eBooksJan 1, 19660 citations

{F}_{0}

. This result provides further evidence that the nucleus is a relativistic system.